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# With two identical lightbulbs and two identical batteries, how would you arrange the bulbs and batteries in a circuit to get the maximum possible total power out? (Assume the batteries have negligible internal resistance.)

Solution

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We know that the brighter the bulb the higher the power it consumes.

And we know that the power is given by

$P=\dfrac{V^2}{R}$

So, to maximize the brightness of the bulbs, we need to maximize the power of the bulb.

And to maximize the power of the bulb, we need to maximize the voltage of the circuit and, at the same time, we need to minimize the equivalent resistance of the circuit.

To maximize the voltage of the circuit, we must connect the two battery in series.

And to minimize the equivalent resistance, we must connect them in parallel.

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